[clang] [NFC][analyzer] Cleanup checker calls in `ExprEngine::ProcessStmt`, `ExprEngine::Visit*` (PR #218691)

[Donát Nagy via cfe-commits]

https://github.com/NagyDonat approved this pull request.

> I intend to run our CI as a final sanity check (after my review, when claude also doesn't report anything).

The CI sanity check finished and confirmed that there are no result changes and no new crashes.

I also checked that the concerns mentioned by @steakhal were all addressed.

Based on this, I think you can and should merge this PR now, and then @tigbr you could start the non-NFC cleanup steps that depend on this.

https://github.com/llvm/llvm-project/pull/218691